Wanderer finally finished being a wanderer (5)
I believe the answer is:
rover
'a wanderer' is the definition.
(I know that wanderer can be written as rover)
'wanderer finally finished' is the wordplay.
'finally' says to take the final letters.
'finished' becomes 'over' (over can mean finished or ended).
The final letter of 'wanderer' is 'r'.
'r'+'over'='ROVER'
'being' acts as a link.
(Other definitions for rover that I've seen before include "A vagrant" , "one in Bristol, one in Doncaster, perhaps" , "Nomad" , "Car - dog" , "Wanderer, rolling stone" .)